100417086330 has 32 divisors (see below), whose sum is σ = 262910190528. Its totient is φ = 24343536000.

The previous prime is 100417086239. The next prime is 100417086337. The reversal of 100417086330 is 33680714001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100417086291 and 100417086300.

It is not an unprimeable number, because it can be changed into a prime (100417086337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152146771 + ... + 152147430.

It is an arithmetic number, because the mean of its divisors is an integer number (8215943454).

Almost surely, 2^100417086330 is an apocalyptic number.

100417086330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100417086330 is an abundant number, since it is smaller than the sum of its proper divisors (162493104198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100417086330 is a wasteful number, since it uses less digits than its factorization.

100417086330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304294222.

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 100417086330 in words is "one hundred billion, four hundred seventeen million, eighty-six thousand, three hundred thirty".